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HourglassMage
When segments intersect outside a circle, what is the relationship between the angle of intersection and the intercepted arcs?
The intersecting lines form an angle. When those lines touch the sides of the circle, they form an arc. That arc has the same central angle within the circle as the angle of intersecting lines.
In other words: if the angle of intersection is in radians, the arc length is Radius * Angle
So...The intersecting lines form an arc which has the same central angle within the circle as the angle of the intersecting lines.
Yes, and that allows you to determine the length of the arc.